Hi there. Hi have in cylindrical coordinates that , and I must make the graph, and take it into cartesian coordinates. How should I do?
I've tried this way:
I think its a semi-plane parallel to the line: . I thought of working geometrically with it, taking another point. Or taking three points, but I think its probably easier someway, just from the equations system. I don't know how to take x and y, to make them a function of z.
It'll be a semi-plane if you're prohibiting negative r-values, and a full plane if you're allowing negative r-values. Polar coordinates usually allow negative r-values. By extension, then, I would think cylindrical coordinates would usually allow negative r-values.